HIGH VOLTAGE GENERATION BY USING COCKCROFT-WALTON MULTIPLIER
ABSTRACT
In this paper present High Voltage DC generation by using
Cockcroft-Walton Multiplier are purpose. This section is providing continues
input current, with a low ripple cascading of diode and capacitor.
Cockcroft-Walton multiplier provide suitable high DC voltage source from a low
input voltage i.e, 230V AC supply which is rectified by using half wave
rectifier circuit. Cockcroft-Walton multiplier constructed by ladder network of
capacitor and diode for generation of high voltage. When number of stages of multiplier
are increase output of the Cockcroft-Walton Multiplier is also increasing. In
this paper 8 stages Cockcroft-Walton multiplier are use to generated high
voltage. In this paper transformer method are eliminated therefore cost and
size of Cockcroft-Walton multiplier are reduce. Other specifications considered
carefully while designing multiplier and components must be used based on size
consideration for expected load current and expected output voltage. A
prototype was designed and experimental result was tested and demonstrate was
purpose.
Key words - Cascading circuit, Cockcroft-Walton
multiplier, High voltage, Voltage divider.
INTRODUCTION
High voltage generation
DC power is widely used in the research work and industry level. It is also
used in the scientific instrument, TV sets and CRTs, Oscilloscope, x-ray and
photomultiplier tubes are used in nuclear industry for detection of radiation.
The method stepping up the voltage is commonly done by a step-up transformer.
The output of the secondary of the step up transformer increases the voltage
and decreases the current and losses occurred in the transformer is more this
is for case of AC system. But in DC system transformer are not in used because
of the constant current in case of DC system and hence, constant flux which is
not link primary to secondary and therefor transformer method are eliminated in
the case of DC. For stepping up the voltage in DC system multiplier method are
prefer. Multipliers are primarily used to develop high voltages where low
voltage at the input side. In this section describes the concept to develop
high voltage DC from a single phase AC ie. 230 Volt, 50 Hz system. Because of
the safety consideration it was restricts the multiplication factor to 8 such
that the output would be within 1KV. The design of the circuit involves
Cockcroft-Walton multiplier, whose principle is to go on doubling the voltage
for each stage. Thus, the output from an 8 stage voltage multiplier can
generate up to 1KV.
COCKCROFT-WALTON MULTIPLIER
The Cockcroft-Walton is
a voltage multiplier that converts AC or pulsing DC electrical power from a low
voltage level to a higher DC voltage level. It is made up of a voltage
multiplier ladder network of capacitors and diodes to generate high voltages.
Unlike transformers, this method eliminates the requirement for the heavy core
and the bulk of insulation/potting required. Using only capacitors and diode in
cascading network these voltage multipliers can step up relatively low voltages
to extremely high values, while at the same time being far lighter and cheaper
than transformers.
Fig -1: Cockcroft-Walton multiplier
Where,
C1,C2,C3…..Cn= Capacitor ,
D1,D2,D3…Dn =Diode, And
ID1, ID2, ID3, ….. ID1
=Diode Current.
The advantages of Cockcroft-Walton Multiplier circuit are low
in cost, small in size and can be easy to insulate the circuit.
Another
advantage of voltage of multiplier circuit is its peak to peak voltage at each
stage will be double.
Consider
operation of two stages Cockcroft-Walton multiplier is shown in figure1.
1) When TS is
negative, then Capacitor C1 charges through Diode D1 to Vmax.
2) When Ts is
positive, then Vmax add arithmetically existing potential C1, thus C2 charges
to 2Vmax through D2.
3) Again Ts is
negative, C3 charge 2Vmax through Diode D3.
4) Again Ts is
positive, Capacitor C4 charge Diode D4 to 4Vmax.
Therefor output
of multiplier = Vmax * N
Where,
N = Number of
stages.
Designing of
Multiplier circuit most commonly half wave circuits are used. And because of
the multiplier circuit, high voltage develop at the output side of the
Cockcroft-Walton multiplier circuit.
Design of
Cockcroft voltage multiplier is simple Careful consideration of all component
parameters is the only way to insure both reliable and predictable circuit
performance.[2]
Ripple of the
n-stage multiplier will be,
from equation
(1) it is clear that, multistage circuit the lowest capacitors are responsible
for most ripple and it is, therefore, desirable to increase the capacitance in
the lower stages.
Therefore,
capacitors of equal value are used in practical circuits i.e., Cn = Cn – 1 =
... C1 = C and the ripple is given as,
The second
quantity to be evaluated is the voltage drop ΔV which is the difference
between the theoretical no load voltage 2nVmax and the onload voltage.
Voltage drop ΔV
= (I/fc) (2/3 n³ + n²/2-n/6)
Regulation of voltage = V/2nEm,
Ripple (%) =
δV/2nEm
RIPPLE VOLTAGE
Ripple voltage
is the magnitude of fluctuation in DC output voltage at a specific output current
(assuming AC input voltage and AC input frequency are constant). A close
approximation for series half-wave multipliers can be expressed as:
VRIP =
I(N2+N/2)/8FC
Example:
Calculate the ripple voltage of a 6 stage multiplier with 1000pF capacitors,
50kHz input frequency (sine wave), 1mA DC output current, 20kV DC output
voltage:
VRIP =
(1*10-3(62+6/2))/8*50000*(1*10-9))
VRIP = 97.5Vp-p
DESIGN AND TEST SETUP
For the
application of various equipment in 8 stages Cockcroft-Walton multiplier designed
with a multiplication of peak to peak voltage ie. N * Vmax at a last stages of
Cockcroft-Walton multiplier.
Fig -2: Block diagram of test setup
A voltage
divider is used for deviation of voltage with a very high resistance. The two
main components are used in the setup as shown.in figure 2. They are amplifier
and 8 stages voltage multiplier. Amplifier is used to amplify the DC input
signal and 8 stages Cockcroft-Walton multiplier is used to step up DC voltage
into a high voltage at 1KV or 1000 Volt from
230 V AC voltage which rectified and convert in AC-DC. Voltage adjuster is used
to adjust the voltage and amplifier end for supplying to the Cockcroft-Walton
multiplier circuit. The operation of a multiplier is to be effectively multiplying
the peak to peak voltage by number of stages and convert into high voltage. The
voltage at the 1st stage of multiplication is 120V DC. The voltage at the 8th
stage of multiplication is 960VDC. In theoretical consideration these values
were somewhat reduced because of losses in the diodes, capacitances and leakage
currents of the diodes, component tolerances of the diodes and capacitors, etc.
The voltage divider in which high value of resistance are use. In the actual
prototyped circuit, we used 10 Mohm resistors because of availability in the
experiment. Components are used in prototype model Capacitor and Diode in
cascade network, and operational amplifier (741). In figure 3. Shows that if
the output voltage of a Cockcroft-Walton multiplier is increase according to
number of stages. In theoretically at first stages output is 120 peak to peak
voltage and at the end of 8 stages the peak to peak voltages is 960 volt.
Developed high voltage D.C. Power supply based on Cockcroft-Walton voltage
multiplier circuit. This circuit is a unique circuit which is developed for the
special applications like field testing of high voltage cables, prime D.C.
voltage. Construction of multiplier circuit is simple in nature because, it is
cascading of diodes and capacitors which is low cost component this is the
advantages of multiplier circuit and it also required less insulation from last
stages of the voltage multiplier circuit.
Fig -3: Characteristics of output voltage and number of
stages
CAPACITOR AND DIODE SELECTION
While
designing multiplier and capacitor and diode must be used based on size
consideration for expected load current and expected output voltage. Range of
capacitor is commonly 1 microfarad to the 250 microfarad, whose voltage rating
is usually twice that of actual peak to peak voltage. For example a capacitor
which will see a peak voltage of 2Vmax should have a voltage rating of
approximately 4Vmax. For selection of diode, parameter must be consider. When
the maximum reverse voltage across a diode that is known as peak inverse
voltage. This peak reverse voltage are available in each diode therefor for
selection of diode rating which is 2 * Vmax for a safety purpose.
CONCLUSION
The
Cockcroft-Walton Multiplier surface mount and design in which high voltage generate
without use transformer is a beauty of the high voltage Cockcroft-Walton circuit.
There for size of the complete high voltage circuit is small and cost is also
less. This small size circuit gives high voltage at the end of multiplier
circuit. Because of the light weighted circuit it is portable it gives high
reliability. Construction of whole circuit is simple and robust in nature. This
multiplier circuit is useful for a scientific instrument, TV sets and CRTs,
Oscilloscope, x-ray and photomultiplier tubes and field testing of HV cables.
EXPERIMENTAL SETUP
In
this experiment used 1 to 250 microfarad capacitor are used and IN 4007 Diode
which is cascading in the Cockcroft-Walton multiplier circuit. Digital
multimeter which is used to measure the High Voltage at the end of multiplier
circuit.
Fig -4: Prototype setup of Cockcroft-Walton
multiplier circuit
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